87852732266160 has 240 divisors, whose sum is σ = 304593202787328. Its totient is φ = 22668913728000.

The previous prime is 87852732266153. The next prime is 87852732266203. The reversal of 87852732266160 is 6166223725878.

87852732266160 is a `hidden beast` number, since 8 + 7 + 8 + 5 + 2 + 7 + 3 + 2 + 2 + 6 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×87852732266160² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186426835 + ... + 186897485.

Almost surely, 2^{87852732266160} is an apocalyptic number.

87852732266160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87852732266160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152296601393664).

87852732266160 is an abundant number, since it is smaller than the sum of its proper divisors (216740470521168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87852732266160 is a wasteful number, since it uses less digits than its factorization.

87852732266160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479064 (or 479055 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 87852732266160 in words is "eighty-seven trillion, eight hundred fifty-two billion, seven hundred thirty-two million, two hundred sixty-six thousand, one hundred sixty".